Details

sample38.0ms

Algorithm

intervals

Results

18.0ms	256×	body	80	valid
5.0ms	256×	pre	80	true

simplify4.0s

Counts

1 → 1

Iterations

Iter	Nodes
done	5261
4	4112
3	745
2	153
1	31
0	10

prune19.0ms

Pruning

2 alts after pruning (2 fresh and 0 done)

Merged error: 0.0b

localize19.0ms

Local error

Found 2 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.1b	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite66.0ms

Algorithm

rewrite-expression-head

Rules

11×	`add-cbrt-cube` `add-exp-log`
4×	`add-sqr-sqrt` `*-un-lft-identity` `add-cube-cbrt` `add-log-exp`
3×	`cbrt-undiv` `times-frac` `div-exp` `prod-exp` `cbrt-unprod` `associate-/l*`
2×	`pow1` `flip3--` `associate-*r/` `associate-/r/` `flip--`
1×	`clear-num` `associate-/r*` `sub-neg` `frac-2neg` `diff-log` `div-inv`

Counts

2 → 37

Calls

2 calls:

18.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
46.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series211.0ms

Counts

2 → 6

Calls

2 calls:

84.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
128.0ms	(/ i (* (* 2.0 2.0) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify1.3s

Counts

43 → 43

Iterations

Iter	Nodes
done	5001
2	1077
1	289
0	109

prune169.0ms

Pruning

3 alts after pruning (2 fresh and 1 done)

Merged error: 0b

localize32.0ms

Local error

Found 3 expressions with local error:

0.0b	(- (* (* 2.0 2.0) i) (/ 1.0 i))
0.2b	(/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
0.3b	(* (/ (sqrt i) (* 2.0 2.0)) (/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

rewrite168.0ms

Algorithm

rewrite-expression-head

Rules

58×	`add-sqr-sqrt`
54×	`times-frac`
34×	`*-un-lft-identity` `add-cube-cbrt`
30×	`sqrt-prod`
26×	`add-cbrt-cube` `add-exp-log`
24×	`associate-r`
10×	`associate-l`
9×	`unswap-sqr`
8×	`cbrt-undiv` `div-exp` `prod-exp` `cbrt-unprod`
6×	`associate-/l*`
5×	`pow1` `add-log-exp`
4×	`associate-/r/`
3×	`associate-/r*` `flip3--` `div-inv` `flip--`
1×	`frac-times` `clear-num` `sub-neg` `frac-2neg` `diff-log` `pow-prod-down` `associate-l/` `associate-r/` `*-commutative`

Counts

3 → 120

Calls

3 calls:

19.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
35.0ms	(/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
110.0ms	(* (/ (sqrt i) (* 2.0 2.0)) (/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

series336.0ms

Counts

3 → 9

Calls

3 calls:

92.0ms	(- (* (* 2.0 2.0) i) (/ 1.0 i))
98.0ms	(/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i)))
146.0ms	(* (/ (sqrt i) (* 2.0 2.0)) (/ (sqrt i) (- (* (* 2.0 2.0) i) (/ 1.0 i))))

simplify2.1s

Counts

129 → 129

Iterations

Iter	Nodes
done	5001
2	2748
1	631
0	210

prune606.0ms

Pruning

3 alts after pruning (1 fresh and 2 done)

Merged error: 0b

localize26.0ms

Local error

Found 4 expressions with local error:

0.1b	(* i (* i i))
0.1b	(* (* i (* i i)) (* i (* i i)))
0.1b	(* (* 1.0 (* i i)) (* i i))
0.2b	(* (- (* i i)) 0.25)

rewrite232.0ms

Algorithm

rewrite-expression-head

Rules

301×	`pow1`
121×	`pow-prod-up`
92×	`pow-prod-down`
68×	`add-cbrt-cube` `add-exp-log`
46×	`prod-exp` `cbrt-unprod`
31×	`pow-sqr`
22×	`pow-plus`
16×	`pow2`
15×	`cube-unmult`
11×	`associate-l`
10×	`add-sqr-sqrt`
7×	`*-un-lft-identity` `add-cube-cbrt`
6×	`associate-r`
4×	`*-commutative` `add-log-exp`
2×	`unswap-sqr`
1×	`distribute-lft-neg-out` `distribute-lft-neg-in` `neg-mul-1` `distribute-rgt-neg-in` `swap-sqr`

Counts

4 → 173

Calls

4 calls:

15.0ms	(* i (* i i))
108.0ms	(* (* i (* i i)) (* i (* i i)))
81.0ms	(* (* 1.0 (* i i)) (* i i))
10.0ms	(* (- (* i i)) 0.25)

series195.0ms

Counts

4 → 12

Calls

4 calls:

48.0ms	(* i (* i i))
54.0ms	(* (* i (* i i)) (* i (* i i)))
51.0ms	(* (* 1.0 (* i i)) (* i i))
42.0ms	(* (- (* i i)) 0.25)

simplify1.9s

Counts

185 → 185

Iterations

Iter	Nodes
done	5000
2	1582
1	501
0	156

prune368.0ms

Pruning

3 alts after pruning (0 fresh and 3 done)

Merged error: 0b

regimes40.0ms

Accuracy

0% (0.1b remaining)

Error of 0.2b against oracle of 0.0b and baseline of 0.2b

bsearch0.0ms

simplify3.0ms

Iterations

Iter	Nodes
done	11
1	11
0	9

end0.0ms

sample1.2s

Algorithm

intervals

Results

504.0ms	8000×	body	80	valid
499.0ms	8000×	pre	80	true